Q1.a) If the colours of cars is given by the distribution shown in Table Q1a): Table Q1a) Colour % 20.1 Black Silver Blu

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Q1 A If The Colours Of Cars Is Given By The Distribution Shown In Table Q1a Table Q1a Colour 20 1 Black Silver Blu 1 (97.19 KiB) Viewed 28 times

Hi can you please post solution of QUESTION 1 (PART A)
Q1.a) If the colours of cars is given by the distribution shown in Table Q1a): Table Q1a) Colour % 20.1 Black Silver Blue 17.6 17.1 15.2 Grey White Other 13.5 16.5 i) What is the probability that 2 randomly selected cars will both be black? (2 marks) What is the probability that 3 randomly selected cars will consist of 2 blue cars and 1 grey car, in any order? (3 marks) iii) What is the probability of exactly 3 silver cars occurring in a random selection of 12 cars? (4 marks) iv) What is the probability of 3 black cars and 2 white cars occurring in a random selection of 8 cars? (5 marks) Q1.b) If the mass of bags of cement from a particular manufacturer are normally distributed with a mean of 24.8kg, and a standard deviation of 0.06kg, what is the probability that the combined mass of 10 bags will be between 247.9kg and 248.2kg? (11 marks)